Magma V2.19-8 Tue Aug 20 2013 23:45:23 on localhost [Seed = 1679950251] Type ? for help. Type -D to quit. Loading file "L9a17__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a17 geometric_solution 10.24919497 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 1230 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660718174586 1.011010831533 0 4 4 3 0132 0132 1302 3201 0 1 1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 -1 1 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368493361424 1.259415250383 0 0 6 5 3012 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298333977825 0.888992160507 5 1 7 0 1302 2310 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.006132360528 0.546500162405 1 1 8 7 2031 0132 0132 2310 0 0 1 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -7 8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785997829429 0.731404213609 7 3 2 8 2031 2031 0132 2310 1 1 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900441220945 0.862404813466 9 9 10 2 0132 1230 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174834867930 0.568884877370 4 10 5 3 3201 0132 1302 0132 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331556343575 1.037239681397 5 10 9 4 3201 3201 2031 0132 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682502227627 1.408323931997 6 10 6 8 0132 2031 3012 1302 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506391211505 1.606124558766 9 7 8 6 1302 0132 2310 0132 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.279606617923 0.874720345157 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_8'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_8'], 'c_1100_10' : d['c_0011_8'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_1001_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_2, c_0101_5, c_0101_8, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 5/28*c_1001_10^3 - 5/42*c_1001_10^2 + 6/7*c_1001_10 - 2/7, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_10^2 + 1, c_0011_3 + 1/2*c_1001_10^2 - c_1001_10 + 1, c_0011_5 - 1, c_0011_6 + 1, c_0011_8 - 1/2*c_1001_10^3 + c_1001_10^2 - 3*c_1001_10 + 3, c_0101_0 - 1/2*c_1001_10^2 - 1, c_0101_2 - 1/2*c_1001_10^3 + 1/2*c_1001_10^2 - 2*c_1001_10 + 1, c_0101_5 - 1/2*c_1001_10^3 + c_1001_10^2 - 3*c_1001_10 + 3, c_0101_8 + 1/2*c_1001_10^3 - 1/2*c_1001_10^2 + 3*c_1001_10 - 3, c_1001_10^4 - 2*c_1001_10^3 + 6*c_1001_10^2 - 8*c_1001_10 + 4 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_2, c_0101_5, c_0101_8, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 37/4*c_1001_10^3 - 43/4*c_1001_10^2 - 9*c_1001_10 - 89/2, c_0011_0 - 1, c_0011_10 - 1/4*c_1001_10^3 + 1/2*c_1001_10 + 1, c_0011_3 - 1/4*c_1001_10^3 - 1/2*c_1001_10 + 1, c_0011_5 - 1, c_0011_6 - 1, c_0011_8 + 1/2*c_1001_10^2 - c_1001_10, c_0101_0 + 1/4*c_1001_10^3 - 1/2*c_1001_10 - 1, c_0101_2 + 1/4*c_1001_10^3 - 1/2*c_1001_10^2 - 1/2*c_1001_10, c_0101_5 - 1/2*c_1001_10^2 + c_1001_10, c_0101_8 + 1/4*c_1001_10^3 - 1/2*c_1001_10^2 + 1/2*c_1001_10, c_1001_10^4 - 2*c_1001_10^3 - 4*c_1001_10 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB